32532480 has 144 divisors (see below), whose sum is σ = 113071140. Its totient is φ = 8650752.

The previous prime is 32532473. The next prime is 32532481. The reversal of 32532480 is 8423523.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 451584 = 5664^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (32532481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91984 + ... + 92336.

Almost surely, 2^32532480 is an apocalyptic number.

32532480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56535570).

32532480 is an abundant number, since it is smaller than the sum of its proper divisors (80538660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32532480 is a wasteful number, since it uses less digits than its factorization.

32532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 32532480 is about 5703.7250985650. The cubic root of 32532480 is about 319.2314891580.

The spelling of 32532480 in words is "thirty-two million, five hundred thirty-two thousand, four hundred eighty".